TSTP Solution File: NUM547+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM547+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:00:30 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 3 unt; 0 def)
% Number of atoms : 303 ( 46 equ)
% Maximal formula atoms : 43 ( 16 avg)
% Number of connectives : 389 ( 104 ~; 80 |; 170 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 79 ( 57 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f496,plain,
$false,
inference(subsumption_resolution,[],[f258,f323]) ).
fof(f323,plain,
! [X0] : ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ( sbrdtbr0(X0) != xk
| ( ( ( aElementOf0(sK14(X0),X0)
& ~ aElementOf0(sK14(X0),xS) )
| ~ aSet0(X0) )
& ~ aSubsetOf0(X0,xS) ) )
& ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f132,f209]) ).
fof(f209,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xS) )
=> ( aElementOf0(sK14(X0),X0)
& ~ aElementOf0(sK14(X0),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( ( sbrdtbr0(X0) != xk
| ( ( ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xS) )
| ~ aSet0(X0) )
& ~ aSubsetOf0(X0,xS) ) )
& ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,negated_conjecture,
~ ? [X0] :
( ( ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) )
& sbrdtbr0(X0) = xk )
| aElementOf0(X0,slbdtsldtrb0(xS,xk)) ),
inference(negated_conjecture,[],[f65]) ).
fof(f65,conjecture,
? [X0] :
( ( ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) )
& sbrdtbr0(X0) = xk )
| aElementOf0(X0,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f258,plain,
aElementOf0(sK8,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ( ~ aSubsetOf0(X0,xT)
& ( ( ~ aElementOf0(sK5(X0),xT)
& aElementOf0(sK5(X0),X0) )
| ~ aSet0(X0) ) )
| sbrdtbr0(X0) != xk )
& ( ~ aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ( aSet0(X0)
& sbrdtbr0(X0) = xk
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,xT) )
& aSubsetOf0(X0,xT) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xS,xk))
| ( aSubsetOf0(X3,xS)
& sbrdtbr0(X3) = xk
& aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) ) ) )
& ( aElementOf0(X3,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X3) != xk
| ( ( ~ aSet0(X3)
| ( aElementOf0(sK6(X3),X3)
& ~ aElementOf0(sK6(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) ) ) )
& ! [X6] :
( aElementOf0(X6,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X6,slbdtsldtrb0(xS,xk)) )
& slcrc0 != slbdtsldtrb0(xS,xk)
& ! [X7] :
( ( ( aSet0(X7)
& ! [X8] :
( ~ aElementOf0(X8,X7)
| aElementOf0(X8,xS) )
& aSubsetOf0(X7,xS)
& xk = sbrdtbr0(X7) )
| ~ aElementOf0(X7,slbdtsldtrb0(xS,xk)) )
& ( xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,xS)
& ( ( aElementOf0(sK7(X7),X7)
& ~ aElementOf0(sK7(X7),xS) )
| ~ aSet0(X7) ) )
| aElementOf0(X7,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk))
& aElementOf0(sK8,slbdtsldtrb0(xS,xk)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f177,f181,f180,f179,f178]) ).
fof(f178,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xT)
& aElementOf0(X1,X0) )
=> ( ~ aElementOf0(sK5(X0),xT)
& aElementOf0(sK5(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
! [X3] :
( ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,xS) )
=> ( aElementOf0(sK6(X3),X3)
& ~ aElementOf0(sK6(X3),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
! [X7] :
( ? [X9] :
( aElementOf0(X9,X7)
& ~ aElementOf0(X9,xS) )
=> ( aElementOf0(sK7(X7),X7)
& ~ aElementOf0(sK7(X7),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
( ? [X10] : aElementOf0(X10,slbdtsldtrb0(xS,xk))
=> aElementOf0(sK8,slbdtsldtrb0(xS,xk)) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ( ~ aSubsetOf0(X0,xT)
& ( ? [X1] :
( ~ aElementOf0(X1,xT)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) )
| sbrdtbr0(X0) != xk )
& ( ~ aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ( aSet0(X0)
& sbrdtbr0(X0) = xk
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,xT) )
& aSubsetOf0(X0,xT) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xS,xk))
| ( aSubsetOf0(X3,xS)
& sbrdtbr0(X3) = xk
& aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) ) ) )
& ( aElementOf0(X3,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X3) != xk
| ( ( ~ aSet0(X3)
| ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,xS) ) )
& ~ aSubsetOf0(X3,xS) ) ) )
& ! [X6] :
( aElementOf0(X6,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X6,slbdtsldtrb0(xS,xk)) )
& slcrc0 != slbdtsldtrb0(xS,xk)
& ! [X7] :
( ( ( aSet0(X7)
& ! [X8] :
( ~ aElementOf0(X8,X7)
| aElementOf0(X8,xS) )
& aSubsetOf0(X7,xS)
& xk = sbrdtbr0(X7) )
| ~ aElementOf0(X7,slbdtsldtrb0(xS,xk)) )
& ( xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,xS)
& ( ? [X9] :
( aElementOf0(X9,X7)
& ~ aElementOf0(X9,xS) )
| ~ aSet0(X7) ) )
| aElementOf0(X7,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk))
& ? [X10] : aElementOf0(X10,slbdtsldtrb0(xS,xk)) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
( ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| ( ~ aSubsetOf0(X5,xT)
& ( ? [X7] :
( ~ aElementOf0(X7,xT)
& aElementOf0(X7,X5) )
| ~ aSet0(X5) ) )
| xk != sbrdtbr0(X5) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(xT,xk))
| ( aSet0(X5)
& xk = sbrdtbr0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,xT) )
& aSubsetOf0(X5,xT) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X0] :
( ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk
& aSet0(X0)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) ) ) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ( ( ~ aSet0(X0)
| ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X0,xS) ) ) )
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& slcrc0 != slbdtsldtrb0(xS,xk)
& ! [X8] :
( ( ( aSet0(X8)
& ! [X10] :
( ~ aElementOf0(X10,X8)
| aElementOf0(X10,xS) )
& aSubsetOf0(X8,xS)
& xk = sbrdtbr0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) )
& ( xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ? [X9] :
( aElementOf0(X9,X8)
& ~ aElementOf0(X9,xS) )
| ~ aSet0(X8) ) )
| aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk))
& ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk)) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& aSet0(slbdtsldtrb0(xS,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ? [X9] :
( aElementOf0(X9,X8)
& ~ aElementOf0(X9,xS) )
| ~ aSet0(X8) ) ) )
& ( ( aSet0(X8)
& ! [X10] :
( ~ aElementOf0(X10,X8)
| aElementOf0(X10,xS) )
& aSubsetOf0(X8,xS)
& xk = sbrdtbr0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ? [X7] :
( ~ aElementOf0(X7,xT)
& aElementOf0(X7,X5) )
| ~ aSet0(X5) ) ) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(xT,xk))
| ( aSet0(X5)
& xk = sbrdtbr0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,xT) )
& aSubsetOf0(X5,xT) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( ( ~ aSet0(X0)
| ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X0,xS) )
| sbrdtbr0(X0) != xk )
& ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk
& aSet0(X0)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) ) ) ) ) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xS,xk))
=> aElementOf0(X4,slbdtsldtrb0(xT,xk)) )
& aSet0(slbdtsldtrb0(xS,xk))
& ! [X8] :
( ( ( xk = sbrdtbr0(X8)
& ( ( ! [X9] :
( aElementOf0(X9,X8)
=> aElementOf0(X9,xS) )
& aSet0(X8) )
| aSubsetOf0(X8,xS) ) )
=> aElementOf0(X8,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
=> ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& aSet0(X8)
& ! [X10] :
( aElementOf0(X10,X8)
=> aElementOf0(X10,xS) ) ) ) )
& ! [X5] :
( ( ( xk = sbrdtbr0(X5)
& ( ( aSet0(X5)
& ! [X7] :
( aElementOf0(X7,X5)
=> aElementOf0(X7,xT) ) )
| aSubsetOf0(X5,xT) ) )
=> aElementOf0(X5,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
=> ( aSubsetOf0(X5,xT)
& ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,xT) )
& xk = sbrdtbr0(X5)
& aSet0(X5) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ~ ( ! [X0] :
( ( ( ( aSubsetOf0(X0,xS)
| ( aSet0(X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,xS) ) ) )
& sbrdtbr0(X0) = xk )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( aSubsetOf0(X0,xS)
& aSet0(X0)
& sbrdtbr0(X0) = xk
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) ) ) )
=> ( ~ ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
| slcrc0 = slbdtsldtrb0(xS,xk) ) ) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xS,xk))
& ~ ( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( aSubsetOf0(X0,xS)
& aSet0(X0)
& sbrdtbr0(X0) = xk
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) ) )
& ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk))
| slcrc0 = slbdtsldtrb0(xS,xk) ) )
& ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xT)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& aSet0(X0) ) )
& ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xT)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) ) )
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& aSet0(X0)
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM547+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33 % Computer : n003.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 06:59:52 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 % (27367)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.46 % (27359)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.46 % (27359)Instruction limit reached!
% 0.20/0.46 % (27359)------------------------------
% 0.20/0.46 % (27359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (27367)First to succeed.
% 0.20/0.47 % (27359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (27359)Termination reason: Unknown
% 0.20/0.47 % (27359)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (27359)Memory used [KB]: 6140
% 0.20/0.47 % (27359)Time elapsed: 0.006 s
% 0.20/0.47 % (27359)Instructions burned: 7 (million)
% 0.20/0.47 % (27359)------------------------------
% 0.20/0.47 % (27359)------------------------------
% 0.20/0.48 % (27367)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (27367)------------------------------
% 0.20/0.48 % (27367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (27367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (27367)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (27367)Memory used [KB]: 2046
% 0.20/0.48 % (27367)Time elapsed: 0.071 s
% 0.20/0.48 % (27367)Instructions burned: 17 (million)
% 0.20/0.48 % (27367)------------------------------
% 0.20/0.48 % (27367)------------------------------
% 0.20/0.48 % (27343)Success in time 0.133 s
%------------------------------------------------------------------------------